On the unit-1-stable rank of rings of analytic functions.
Joan Josep Carmona; Julià Cufí; Pere Menal
Publicacions Matemàtiques (1992)
- Volume: 36, Issue: 2A, page 439-447
- ISSN: 0214-1493
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topCarmona, Joan Josep, Cufí, Julià, and Menal, Pere. "On the unit-1-stable rank of rings of analytic functions.." Publicacions Matemàtiques 36.2A (1992): 439-447. <http://eudml.org/doc/41724>.
@article{Carmona1992,
	abstract = {In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.},
	author = {Carmona, Joan Josep, Cufí, Julià, Menal, Pere},
	journal = {Publicacions Matemàtiques},
	keywords = {totally reducible elements; unit-1-stable rank; unimodular pair; totally reducible},
	language = {eng},
	number = {2A},
	pages = {439-447},
	title = {On the unit-1-stable rank of rings of analytic functions.},
	url = {http://eudml.org/doc/41724},
	volume = {36},
	year = {1992},
}
TY  - JOUR
AU  - Carmona, Joan Josep
AU  - Cufí, Julià
AU  - Menal, Pere
TI  - On the unit-1-stable rank of rings of analytic functions.
JO  - Publicacions Matemàtiques
PY  - 1992
VL  - 36
IS  - 2A
SP  - 439
EP  - 447
AB  - In this paper we prove a general result for the ring H(U) of the analytic functions on an open set U in the complex plane which implies that H(U) has not unit-1-stable rank and that has some other interesting consequences. We prove also that in H(U) there are no totally reducible elements different from the zero function.
LA  - eng
KW  - totally reducible elements; unit-1-stable rank; unimodular pair; totally reducible
UR  - http://eudml.org/doc/41724
ER  - 
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